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Finding the Fourth Proportional to 614.36, 920.64 and 285.40

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Solution

The fourth proportional to 614.36, 920.64 and 285.40 is: 427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.36 : 920.64 = 285.40 : x
  2. Step 2: Convert to fraction form
    614.36/920.64 = 285.40/x
  3. Step 3: Cross multiply
    614.36x = 920.64 × 285.40
  4. Step 4: Simplify right side
    614.36x = 262,744.63
  5. Step 5: Solve for x
    x = 262,744.63/614.36
  6. Step 6: Final answer
    x = 427.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.